Module 2 Topic 1 Review

Front

What is the slope of a line in similar triangles?

Back

The slope of a line is the ratio of the vertical change to the horizontal change between two points on the line. In this case, the slope is -3.

Front

How do you determine the rate of change from a graph?

Back

The rate of change is calculated as the change in the y-values divided by the change in the x-values. For the bird watcher, the rate of change is ²⁄₇.

Front

What is a proportional relationship in mathematics?

Back

A proportional relationship is one where the ratio of the two quantities remains constant. The equation y = ¼x represents a proportional relationship.

Front

How can you identify the equation of a line from a graph?

Back

The equation of a line can be identified by its slope and y-intercept. For the given graph, the equation is y = 4x.

Front

What does the equation y = ⅔x represent in terms of balloon bouquets?

Back

This equation indicates that for every 3 balloons, 2 are red, establishing a proportional relationship between the total number of balloons (x) and the number of red balloons (y).

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change, subtract the y-values and divide by the corresponding change in x-values.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.